10201122 has 72 divisors (see below), whose sum is σ = 24568596. Its totient is φ = 3055104.

The previous prime is 10201109. The next prime is 10201123. The reversal of 10201122 is 22110201.

It can be written as a sum of positive squares in 6 ways, for example, as 9979281 + 221841 = 3159^2 + 471^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

10201122 is a modest number, since divided by 1122 gives 1020 as remainder.

It is not an unprimeable number, because it can be changed into a prime (10201123) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 192448 + ... + 192500.

Almost surely, 2^10201122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10201122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12284298).

10201122 is an abundant number, since it is smaller than the sum of its proper divisors (14367474).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10201122 is a wasteful number, since it uses less digits than its factorization.

10201122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 10201122 is about 3193.9195356176. The cubic root of 10201122 is about 216.8782401440.

Adding to 10201122 its reverse (22110201), we get a palindrome (32311323).

The spelling of 10201122 in words is "ten million, two hundred one thousand, one hundred twenty-two".